# Exponential Tree Properties

This figure illustrates an exponential tree whose properties demonstrate the three math operators: the exponent, logarithm and radical operator. The properties of the tree are summarized below:

Property | Variable | Description |
---|---|---|

Leaves | The number of nodes on the top-most level of the tree. | |

Levels | The number of levels of the tree starting at zero. | |

Growth Rate | The growth rate at each level of the tree. |

Figure |
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The exponentiation operator is a binary operator. The base is an expression or number that is being raised to some exponent. The exponent expression is denoted using superscript text.

Taking the logarithm of an number is the inverse operation of exponentiation. The subscript number is the base of the logarithm and the expression is the operand.

The radical operator returns the n-th root of the provided expression. The radical operator is an alternative way of writing a fractional exponent.